Answer:
C. It would be shifted down.
General Formulas and Concepts:
<u>Algebra I</u>
Reading a Cartesian Plane
Functions
Graphing
Coordinates (x, y)
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Original Function] y = 12x + 7
[Transformed Function] y = 12x + 2
<u>Step 2: Identify</u>
<em>Compare functions to general form.</em>
[Original Function] Slope <em>m</em> = 12, y-intercept <em>b</em> = 7
[Transformed Function] Slope <em>m</em> = 12, y-intercept <em>b</em> = 2
<u>Step 3: Compare</u>
We see that they both have the same slope <em>m</em> of 12, so A and B can be eliminated as the slopes don't change and therefore would not be steeper or less steep.
Now comparing the y-intercept <em>b</em>'s, we see that the original function has a bigger <em>b</em> than the transformed function. This tells us that the original function will start <em>higher</em> than the transformed function.
We can also graph both equations and see what happens to the original equation.
∴ the answer would be C. It would be shifted down.